What are the common multiples of 70 and 33?

Common multiples of 70 and 33 are numbers that both 70 and 33 can be divided into evenly with no remainder.

To find the common multiples of 70 and 33, we compare the list of multiples of 70 with the list of multiples of 33 to see what they have in common.

To create a list of multiples of 70, we multiply 70 by 1, 70 by 2, and so on like this:

70 x 1 = 70
70 x 2 = 140
70 x 3 = 210
70 x 4 = 280
...

Similarly, to create a list of multiples of 33, we multiply 33 by 1, 33 by 2, and so on like this:

33 x 1 = 33
33 x 2 = 66
33 x 3 = 99
33 x 4 = 132
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 70 and 33?"

2310, 4620, 6930, 9240, etc.

Since 2310 is the first number they have in common, 2310 is the least common multiple of 70 and 33.

Note: Our lists are shortened because they go on forever, but can you see the pattern when you look at the answer in green above? The common multiples are in intervals of 2310 (the least common multiple), so you can continue the green list above with more common multiples of 70 and 33 by simply adding 2310 to the last number on the list.

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What are the common multiples of 70 and 34?
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